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132880293 = 32713891823
BaseRepresentation
bin1111110101110…
…01011110100101
3100021001000111100
413322321132211
5233004132133
621104030313
73202315050
oct772713645
9307030440
10132880293
1169009a27
1238602399
13216b67c0
141390da97
15b9ebe13
hex7eb97a5

132880293 has 48 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 69265152.

The previous prime is 132880259. The next prime is 132880309. The reversal of 132880293 is 392088231.

It is a happy number.

It is not a de Polignac number, because 132880293 - 29 = 132879781 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132880093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71980 + ... + 73802.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2132880293 is an apocalyptic number.

132880293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132880293 is a deficient number, since it is larger than the sum of its proper divisors (106136667).

132880293 is a wasteful number, since it uses less digits than its factorization.

132880293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 132880293 is about 11527.3714696803. The cubic root of 132880293 is about 510.2936832147.

The spelling of 132880293 in words is "one hundred thirty-two million, eight hundred eighty thousand, two hundred ninety-three".

Divisors: 1 3 7 9 13 21 39 63 89 91 117 267 273 623 801 819 1157 1823 1869 3471 5469 5607 8099 10413 12761 16407 23699 24297 38283 71097 72891 114849 162247 165893 213291 486741 497679 1135729 1460223 1493037 2109211 3407187 6327633 10221561 14764477 18982899 44293431 132880293